Pith Number

pith:PTKSBUTY

pith:2019:PTKSBUTY4IX4SLRJ4IYM3UPYKA

not attested not anchored not stored refs pending

Semi-Grundy function, an hereditary approach to Grundy function

Hortensia Galeana-S\'anchez, Ra\'ul Gonz\'alez-Silva

arxiv:1901.04845 v1 · 2019-01-15 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PTKSBUTY4IX4SLRJ4IYM3UPYKA}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:56:21.538877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cd520d278e22fc92e29e230cdd1f85023d644923f82d09560ede2bbae883537

Aliases

arxiv: 1901.04845 · arxiv_version: 1901.04845v1 · doi: 10.48550/arxiv.1901.04845 · pith_short_12: PTKSBUTY4IX4 · pith_short_16: PTKSBUTY4IX4SLRJ · pith_short_8: PTKSBUTY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PTKSBUTY4IX4SLRJ4IYM3UPYKA \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7cd520d278e22fc92e29e230cdd1f85023d644923f82d09560ede2bbae883537

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "042fdf0ed8b3da21e65965d10ee1876c303b4e4e9f8f2756412716b5f9f3664b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-15T14:28:57Z",
    "title_canon_sha256": "2e42d610fd4165ce52c53ed0e4fa7a132bb4648c0e8f1bd9a9e72e335776c097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.04845",
    "kind": "arxiv",
    "version": 1
  }
}